Banach Space/Examples/Euclidean Space

Example of Banach Space

A Euclidean space with the usual Euclidean norm is a Banach space.

Proof

This is demonstrated in Euclidean Space is Banach Space.

$\blacksquare$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Banach space
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Banach space